Rao, Shodhan (Univ. of Southampton), Rapisarda, Paolo (Univ. of Southampton)

Bases of conserved and zero-mean quadratic quantities for linear oscillatory systems

Scheduled for presentation during the Mini-Symposium "Behavioral systems theory" (FrA11), Friday, July 28, 2006, 12:05−12:30, Room 104a

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 19, 2024

Abstract

We study the structure and properties of the set of intrinsically zero-mean quadratic quantities for linear oscillatory systems, i.e. quantities having a zero asymptotic average only on such a behavior. We generalize the principle of least action to oscillatory systems described by higher order equations, and show that intrinsically zero-mean quadratic quantities can be interpreted as generalized Lagrangians. We extend this analysis to the multivariable case and illustrate a method of generation of basis of conserved quantities.